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In Poi, since constants are defined as "function of something that returns the constant", e.g. \true, it is possible to prove:
true = id
(= true)(id)
idb(id)
id(id)
id
while the following is also provable due to the function inequalities:
true = id
id = true
false
This means that function equality is inconsistent.
For now, reductions rules are added to override into the second case, while (= true) <=> idb is an equivalence.
This means that the inconsistency disappears when reductions are applied before equivalences.
The text was updated successfully, but these errors were encountered:
In Poi, since constants are defined as "function of something that returns the constant", e.g.
\true
, it is possible to prove:while the following is also provable due to the function inequalities:
This means that function equality is inconsistent.
For now, reductions rules are added to override into the second case, while
(= true) <=> idb
is an equivalence.This means that the inconsistency disappears when reductions are applied before equivalences.
The text was updated successfully, but these errors were encountered: